The Stokes number, St, used in particle-dynamics studies, is a dimensionless combination of five variables: acceleration of gravity g, viscosity μ, density p, particle velocity U, and particle diameter D. (a) If St is proportional to μ and inversely proportional to g, find its form. (b) Show that St is actually the quotient of two more traditional dimensionless groups.

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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
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The Stokes number, St, used in particle-dynamics studies, is a dimensionless
combination of five variables: acceleration of gravity g, viscosity μ, density p, particle velocity U,
and particle diameter D. (a) If St is proportional to μ and inversely proportional to g, find its form.
(b) Show that St is actually the quotient of two more traditional dimensionless groups.
Transcribed Image Text:The Stokes number, St, used in particle-dynamics studies, is a dimensionless combination of five variables: acceleration of gravity g, viscosity μ, density p, particle velocity U, and particle diameter D. (a) If St is proportional to μ and inversely proportional to g, find its form. (b) Show that St is actually the quotient of two more traditional dimensionless groups.
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